What is factor (a+b)^3-b^3 ?

The solution to factor (a+b)^3-b^3 is a(3b^2+3ab+a^2)

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factor (a+b)^3-b^3

factor

(a + b)^{3} - b^{3}

a (3 b^{2} + 3 ab + a^{2})

Solution steps

(a + b)^{3} - b^{3}

Apply Difference of Cubes Formula:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

(a + b)^{3} - b^{3} = ((a + b) - b) ((a + b)^{2} + (a + b) b + b^{2})

= ((a + b) - b) ((a + b)^{2} + b (a + b) + b^{2})

Refine

= a (b^{2} + b (a + b) + (a + b)^{2})

Expand

(a + b)^{2} + b (a + b) + b^{2} : 3 b^{2} + 3 ab + a^{2}

= a (a^{2} + 3 ab + 3 b^{2})

\frac{1}{3} x^{2} - 3 x + 5

e (- 2)

- (\frac{7}{8})

(2 x - 5)^{2} + 6 (2 x - 5) + 5

sin (4 x - 8 y)

What is factor (a+b)^3-b^3 ?
The solution to factor (a+b)^3-b^3 is a(3b^2+3ab+a^2)